MIT 18.06 Linear Algebra, Spring 2005
Topics systems of equations, vector spaces, positive definite matrices, matrix theory, linear algebra, determinants, eigenvalues, similarity, least-squares approximations, stability of differential equations, networks, Fourier transforms, Markov processes
This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.
Producer MIT OpenCourseWareProduction Company MIT OpenCourseWareAudio/Visual sound, colorLanguage English - US
April 24, 2011
Study Linear algebra with Gilbert Strang
Glibert Strang’s 18.06 Linear Algebra course at MIT OpenCourseWare is exquisite!
Some of the course highlights are:
- Matrix focus (that is, more concrete and less abstract)
- An interesting take on “the fundamental theorem of linear algebra”
- A thorough treatment of projection matrices including applications to least squares (Strang revisits them over and over again)
- The idea of fundamental matrix factorizations as actions that “record” the essence of the algorithms of linear algebra
And more. I wrote a full review at http://blog.cjfearnley.com/2011/04/15/study-linear-algebra-at-mit-with-gilbert-strang/